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  1. 1Adding and Subtracting Integers
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    1. 1.1Introduction to integer addition
    2. 1.2Adding integers
    3. 1.3Introduction to integer subtraction
    4. 1.4Subtracting integers
    5. 1.5Application of integer operations
  2. 2Multiplying and Dividing Integers
    1. 2.1Multiplying integers
    2. 2.2Dividing integers
  3. 3Primes and Common Factors
    1. 3.1Prime factorization
    2. 3.2Least Common Multiple (LCM)
    3. 3.3Greatest Common Factors (GCF)
  4. 4Fractions
    1. 4.1Adding fractions with like denominators
    2. 4.2Subtracting fractions with like denominators
    3. 4.3Adding and subtracting fractions with unlike denominators
    4. 4.4Multiplying proper fractions
    5. 4.5Dividing fractions and mixed numbers
  5. 5Decimals
    1. 5.1Adding and subtracting decimals
    2. 5.2Multiplying decimals
    3. 5.3Dividing decimals
    4. 5.4Order of operations (BEDMAS)
    5. 5.5Scientific notation
    6. 5.6Rational vs. Irrational numbers
  6. 6Expressions and Equations
    1. 6.1Patterns
    2. 6.2Adding and subtracting polynomials
    3. 6.3Solving linear equations using distributive property: a(x + b) = c
    4. 6.4Multiplying polynomials by monomials
    5. 6.5Solving linear equations using multiplication and division
    6. 6.6Solving two-step linear equations: ax + b = c, x/a + b = c
    7. 6.7Solving one - step equations: x + a = b
    8. 6.8Solving linear equations with variables on both sides
  7. 7Introduction to Equations
    1. 7.1Evaluating algebraic expressions
    2. 7.2Solving literal equations
    3. 7.3Applications of polynomial functions
    4. 7.4Money related questions in linear equations
  8. 8Absolute Value Equations
    1. 8.1Absolute value functions
    2. 8.2Solving absolute value equations
    3. 8.3Solving absolute value inequalities
  9. 9Graphing Inequalities
    1. 9.1Express linear inequalities graphically and algebraically
    2. 9.2Solving one-step linear inequalities
    3. 9.3Solving multi-step linear inequalities
    4. 9.4Graphing linear inequalities in two variables
  10. 10Linear Equations
    1. 10.1Word problems of graphing linear functions
    2. 10.2Rate of change
    3. 10.3Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 10.4Graphing linear functions using a single point and slope
    5. 10.5General form: Ax + By + C = 0
    6. 10.6Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 10.7Parallel and perpendicular lines in linear functions
  11. 11Graphing Functions
    1. 11.1Domain and range of a function
    2. 11.2Identifying functions
    3. 11.3Function notation
    4. 11.4Graphing linear functions using table of values
    5. 11.5Graphing from slope-intercept form y=mx+b
    6. 11.6Graphing linear functions using x- and y-intercepts
    7. 11.7Using elimination method to solve systems of equations
    8. 11.8Using substitution method to solve systems of equations
  12. 12Exponents and Multiplying Polynomials
    1. 12.1Direct variation
    2. 12.2Multiplying binomial by binomial
  13. 13Factoring
    1. 13.1Common factors of polynomials
    2. 13.2Factor by taking out the greatest common factor
    3. 13.3Factoring polynomials: ax2+bx+cax^2 + bx + c
    4. 13.4Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
    5. 13.5Factoring difference of squares: x^2 - y^2
    6. 13.6Introduction to quadratic functions
  14. 14Radical Expressions and Quadratic Equations
    1. 14.1Evaluating and simplifying radicals
    2. 14.2Converting radicals to mixed radicals
    3. 14.3Solving quadratic equations by factoring
    4. 14.4Solving quadratic equations by completing the square
    5. 14.5Using quadratic formula to solve quadratic equations
    6. 14.6Transformations of quadratic functions
  15. 15Introduction to Geometry
    1. 15.1Cartesian plane
    2. 15.2Parallel and perpendicular line segments
    3. 15.3Horizontal and vertical distances
  16. 16Statistics
    1. 16.1Reading and drawing bar graphs
    2. 16.2Reading and drawing line graphs
    3. 16.3Circle graphs
    4. 16.4Reading and drawing histograms
    5. 16.5Box-and-whisker plots and scatter plots
    6. 16.6Median and mode
    7. 16.7Mean
    8. 16.8Application of averages
  17. 17Probability
    1. 17.1Introduction to probability
    2. 17.2Organizing outcomes
    3. 17.3Probability of independent events
    4. 17.4Comparing experimental and theoretical probability
  18. 18Angle Pair, Parallel, and Perpendicular Lines
    1. 18.1Parallel line proofs
    2. 18.2Perpendicular line proofs
    3. 18.3Inscribed Angles and Proofs
    4. 18.4Standard angles
    5. 18.5Coterminal angles
    6. 18.6Reference angles
  19. 19Triangles
    1. 19.1Classifying Triangles
    2. 19.2Congruence and Congruent Triangles
    3. 19.3Triangles Congruent by SSS Proofs
    4. 19.4Triangles Congruent by SAS and HL Proofs
    5. 19.5Triangles Congruent by ASA and AAS Proofs
    6. 19.6Isosceles and Equilateral Triangles
  20. 20Relations in Triangles
    1. 20.1Unit circle
    2. 20.2Law of sines
    3. 20.3Law of cosines
    4. 20.4Applications of the sine law and cosine law
  21. 21Ratio, Proportion, Similarity, & Percent
    1. 21.1Ratios
    2. 21.2Similar polygons
    3. 21.3Percents, fractions, and decimals
    4. 21.4Percent of a number
    5. 21.5Pythagorean theorem
    6. 21.6Applications of pythagorean theorem
    7. 21.7Solving expressions using 30-60-90 special right triangles
    8. 21.8Solving expressions using 45-45-90 special right triangles
  22. 22Right Triangles
    1. 22.1Use sine ratio to calculate angles and side (Sin = oh \frac{o}{h} )
    2. 22.2Use cosine ratio to calculate angles and side (Cos = ah \frac{a}{h} )
    3. 22.3Use tangent ratio to calculate angles and side (Tan = oa \frac{o}{a} )
    4. 22.4Other word problems relating angles in trigonometry
  23. 23Beginning Measurement
    1. 23.1Metric systems
    2. 23.2Imperial systems
    3. 23.3Conversions between metric and imperial systems
    4. 23.4Conversions involve squares and cubic
  24. 24Circles
    1. 24.1Tangent properties
    2. 24.2Circle and circumference
    3. 24.3Arcs of a circle
    4. 24.4Areas and sectors of circles
    5. 24.5Central and inscribed angles in circles
  25. 25Surface Area and Volume
    1. 25.1Surface area and volume of prisms
    2. 25.2Surface area and volume of pyramids
    3. 25.3Surface area and volume of cylinders
    4. 25.4Surface area and volume of cones
    5. 25.5Surface area and volume of spheres
  26. 26Coordinate Geometry
    1. 26.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 26.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 26.3Solving second degree trigonometric equations
  27. 27Negative and Rational Exponents
    1. 27.1Exponents: Negative exponents
    2. 27.2Combining the exponent rules
    3. 27.3Rational exponents
    4. 27.4Solving radical equations
    5. 27.5Basic radical functions
  28. 28Composite Functions and Inverses
    1. 28.1Composite functions
    2. 28.2Inverse functions
  29. 29Logarithms and Exponential Functions
    1. 29.1What is a logarithm?
    2. 29.2Evaluating logarithms without a calculator
    3. 29.3Product rule of logarithms
    4. 29.4Quotient rule of logarithms
    5. 29.5Combining product rule and quotient rule in logarithms
    6. 29.6Solving logarithmic equations
    7. 29.7Evaluating logarithms using change-of-base formula
    8. 29.8Exponential growth and decay by a factor
    9. 29.9Exponential decay: Half-life
    10. 29.10Natural log: ln
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